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Finding the Fourth Proportional to 206.44, 286.01 and 201.43

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Solution

The fourth proportional to 206.44, 286.01 and 201.43 is: 279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.44 : 286.01 = 201.43 : x
  2. Step 2: Convert to fraction form
    206.44/286.01 = 201.43/x
  3. Step 3: Cross multiply
    206.44x = 286.01 × 201.43
  4. Step 4: Simplify right side
    206.44x = 57,610.99
  5. Step 5: Solve for x
    x = 57,610.99/206.44
  6. Step 6: Final answer
    x = 279.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.